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Finding the Fourth Proportional to 207,150.76, 285,858.60 and 115,274.59

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Solution

The fourth proportional to 207,150.76, 285,858.60 and 115,274.59 is: 159,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,150.76 : 285,858.60 = 115,274.59 : x
  2. Step 2: Convert to fraction form
    207,150.76/285,858.60 = 115,274.59/x
  3. Step 3: Cross multiply
    207,150.76x = 285,858.60 × 115,274.59
  4. Step 4: Simplify right side
    207,150.76x = 32,952,232,414.47
  5. Step 5: Solve for x
    x = 32,952,232,414.47/207,150.76
  6. Step 6: Final answer
    x = 159,073.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.